起伏地表三维电阻率法有限差分数值模拟  

3D numerical modeling of resistivity with surface topography by the finite-difference method

作　　者：韩江涛[1] 刘国兴[1] 金忠宝[1] 

机构地区：[1]吉林大学地球探测科学与技术学院

出　　处：《地球物理学进展》2009年第1期195-200,共6页Progress in Geophysics

基　　金：国家“863”项目“起伏地表条件下矿体快速定位的三维直流电场法理论与技术”项目(2006AA06Z109)资助

摘　　要：有限差分法是地球物理数值模拟中最常用的方法之一,为了研究起伏地表对三维电阻率法的影响问题,本文基于网格变换方法将起伏地表映射成水平地表,推导出映射后坐标系下稳定电流场基本方程.采用有限差分法对映射后的控制方程进行数值模拟.通过对三维山谷、山脊地形进行数值模拟,分析不同测量装置的地形影响.结果表明：起伏地表对稳定电流场的影响很大.The finite-difference method is one of the most commonly used geophysical numerical modeling methods,.In this paper we use the method of transforming curved grids mapping the fluctuating surface topography into horizontal surface topography and derive the basic equation of the stable electric current field of the reference frame after mapping.We use the finite-difference method to model the equation after mapping.By modeling the topography of a 3D-valley and 3D-ridge,we can analyse the influence of the topography on the equipments.The result shows that the fluctuating surface topography has a great influence on the stable electric current field.

关 键 词：起伏地表 电阻率法 网格映射 有限差分法 数值模拟 

分 类 号：P631[天文地球—地质矿产勘探]